what is the electrical potential at point P relative to infi

Three point charges of-2.00pc, +4,00 C, of-2.00 C, +4.00 C, and +6.00 HC are placed along the x-axis as shown in the figure. show clearly your work. XP 0.200 m -2.00 uC +6.00 uC 0.200 m +4.00 c 0.200 m +4.00 C 1) What is the electrical potential at point P (relative to infinity) due to these charges? 2) What is the electric potential energy of a +3 uC charge placed at point P?

Solution

a)

Electric potential due to point charge Q is given by

V=KQ/r

Electric Potential at point P is

V = V₂+V₄+V₆

V=(9*10⁹)[-2/sqrt[0.2²+0.2²] + 4/0.2 +6/sqrt[0.2²+0.2²]]*10^-6

V=3.07*10⁵ Volts

b)

Electric Potential energy at point P

U=QV=(3*10^-6)(3.07*10⁵)

U=0.92 J